I find track driving a totally different mentality to other driving. For me it's not just about going as fast as you can, it more about perfecting the skills to make you a better driver which in turn will make you quicker. Focusing on balancing the car, coming off the throttle smoothly, applying the brakes correctly, coming off the brakes smoothly and balancing the throttle and steering inputs as you unwind exiting the corner, focusing on the correct line and trying new lines.
I also love understanding how your car behaves on track and learning the way it handles. My old Civic Type R at Castle Combe, I had to always turn in much earlier than normal to make the apex as it didn't like the ideal line. Caught me out a few times but set a whole new challenge to focus on. However, when the rain came, my god did the car come alive and it was like a totally different machine. Even the Lotus instructor who was coaching me couldn't believe how much it changed.
For day to day driving, you do very little working on this precise type of driving as it's more routine and regulated. Yes you get the chance to have some nice blats on various B roads but you never turn around and try the corner again and again to perfect it. I love the technical aspect of circuit driving more than the speed.